Finite Group Databasebeta

C3×#23782763 #44534517

order31347
automorphism?
homologyAbelianization (H1) = C33 · Schur multiplier (H2) = C33

Aliases

direct productC3×#23782763

Splittings

SylowC43 ⋊ C3×#6882

Subgroups

subgroupG/H
centerC32#16812512
commutator, cosocleC3×C9×C43C33
FrattiniC3×C9C32×C43⋊C3
FittingC3×C43×#733C3
socleC32×C43#732
prime radicalC33×C43H(3,𝔽3)
hypercenterC3×#733C43⋊C3
hypocenterC43C3×#6882
LCSG ▷ C3×C9×C43 ▷ C32×C43 ▷ C3×C43 ▷ C43
UCSC1 ◁ C32 ◁ C33 ◁ C32×C9 ◁ C3×#733

200 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3483

Conjugacy classes & character table

771 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31347, 3140);